Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities

Journal Article · Sat Aug 15 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4928585· OSTI ID:22490038

Liu, Chang; Dodin, Ilya Y. ^[1]

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1. Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)

The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects simultaneously. The fluid nonlinearity is expressed, for the first time, through the plasma dielectric function, and the kinetic nonlinearity accounts for both smooth distributions and trapped-particle beams. Various known limiting scalings are reproduced as special cases. The calculation avoids differential equations and can be extended straightforwardly to other nonlinear plasma waves.

• OSTI ID: 22490038
• Journal Information: Physics of Plasmas, Vol. 22, Issue 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONLESS PLASMA
DIELECTRIC MATERIALS
DIFFERENTIAL EQUATIONS
LANGMUIR FREQUENCY
NONLINEAR PROBLEMS
PARTICLE BEAMS
PLASMA WAVES
TRAPPING